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Finding the Third Proportional to 182,912 and 274,855

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Solution

The third proportional to 182,912 and 274,855 is: 413,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,912 : 274,855 = 274,855 : x
  2. Step 2: Convert to fraction form
    182,912/274,855 = 274,855/x
  3. Step 3: Cross multiply
    182,912x = 274,855 × 274,855
  4. Step 4: Simplify right side
    182,912x = 75,545,271,025
  5. Step 5: Solve for x
    x = 75,545,271,025/182,912
  6. Step 6: Final answer
    x = 413,014.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.